functions of a real returning respectively the largest smaller and the smallest larger integer
{\displaystyle \lfloor x\rfloor =x-\{x\}}
{\displaystyle \lfloor x\rfloor =m}
{\displaystyle \lfloor x\rfloor }
{\displaystyle \lfloor x\rfloor \leq \lceil x\rceil ,}
In mathematics, the floor function is the function that takes as input a real number x, and gives as output the greatest integer less than or equal to x, denoted ⌊x⌋ or … Wikipedia
🌐
Wikipedia
en.wikipedia.org › wiki › Floor_and_ceiling_functions
Floor and ceiling functions - Wikipedia
February 5, 2026 - In mathematics, the floor function is the function that takes as input a real number x, and gives as output the greatest integer less than or equal to x, denoted ⌊x⌋ or floor(x). Similarly, the ceiling function maps x to the least integer greater than or equal to x, denoted ⌈x⌉ or ceil(x). ...
🌐
GeeksforGeeks
geeksforgeeks.org › c++ › ceil-floor-functions-cpp
Ceil and Floor functions in C++ - GeeksforGeeks
May 16, 2025 - C++ provides floor() and ceil() functions, defined in the <cmath> header file, to find the rounded-down and rounded-up values of floating-point numbers
Discussions

In C, is it possible to emulate the ceil() function without utilizing ceil() nor if and else statements?
Why? https://en.cppreference.com/w/c/numeric/math/ceil There's a sample implementation there More on reddit.com
🌐 r/programminghelp
6
3
December 11, 2020
Python math.ceil BUG in leetcode
Did the same mistake in one of my onsites 😂. Don’t know how ceil works in python. In java we need to explicitly typecast it to double while calling ceil. 3/6 goes as integer division, math.ceil(3/6) is basically math.ceil(0), so it’s returning 0.0. While Math.ceil(3/(double)6) return 1.0. More on reddit.com
🌐 r/leetcode
6
1
January 16, 2025
I'm stuck with getting my ceil function to work for ...
🌐 r/learnprogramming
Programming FLOOR & CEIL
Which HP do you have? The 28, 48, 49, 50, and Prime series all have CEIL, FLOOR, and RND. More on reddit.com
🌐 r/calculators
27
May 19, 2024
🌐
Microsoft Support
support.microsoft.com › en-us › office › ceiling-function-0a5cd7c8-0720-4f0a-bd2c-c943e510899f
CEILING function - Microsoft Support
Returns number rounded up, away from zero, to the nearest multiple of significance. For example, if you want to avoid using pennies in your prices and your product is priced at $4.42, use the formula =CEILING(4.42,0.05) to round prices up to the nearest nickel.
🌐
W3Schools
w3schools.com › c › ref_math_ceil.php
C Math ceil() Function
The ceil() function rounds a number UP to the nearest integer.
🌐
Oracle
docs.oracle.com › en › database › oracle › oracle-database › 19 › sqlrf › CEIL.html
CEIL
November 12, 2025 - CEIL returns the smallest integer that is greater than or equal to n. The number n can always be written as the difference of an integer k and a positive fraction f such that 0 <= f < 1 and n = k - f. The value of CEIL is the integer k. Thus, the value of CEIL is n itself if and only if n is ...
🌐
IBM
ibm.com › docs › en › i › 7.4.0
CEILING or CEIL
The CEILING or CEIL function returns the smallest integer value that is greater than or equal to expression.
Find elsewhere
🌐
MedCalc
medcalc.org › en › manual › ceil-function.php
CEIL function calculator and graph - MedCalc Manual
September 9, 2025 - CEIL(x) rounds the number x up. The argument x can be a real number or a matrix. When it is a matrix, the function returns a matrix with the same dimensions and with the CEIL function applied to all elements.
🌐
Databricks
docs.databricks.com › reference › sql language reference › functions › built-in functions › alphabetical list of built-in functions › ceil function
ceil function | Databricks on AWS
April 18, 2024 - Returns the smallest number not smaller than expr rounded up to targetScale digits relative to the decimal point. This function is a synonym of ceiling function.
🌐
Oracle
docs.oracle.com › javadb › 10.8.3.0 › ref › rreffuncceil.html
CEIL or CEILING function
The CEIL and CEILING functions round the specified number up, and return the smallest number that is greater than or equal to the specified number.
🌐
IBM
ibm.com › docs › en › i › 7.4.0
ceil() — Find Integer >=Argument
We cannot provide a description for this page right now
🌐
PHP
php.net › manual › en › function.ceil.php
PHP: ceil - Manual
Math Functions · (PHP 4, PHP 5, PHP 7, PHP 8) ceil — Round fractions up · ceil(int|float $num): float · Returns the next highest integer value by rounding up num if necessary. num · The value to round · num rounded up to the next highest ...
🌐
MathWorks
mathworks.com › matlab › mathematics › elementary math › arithmetic operations
ceil - Round toward positive infinity - MATLAB
Y = ceil(X) rounds each element of X to the nearest integer greater than or equal to that element.
🌐
Math is Fun
mathsisfun.com › sets › function-floor-ceiling.html
Floor and Ceiling Functions
The floor and ceiling functions give us the nearest integer up or down. The Floor of 2.31 is 2 The Ceiling of 2.31 is 3.
🌐
Programiz
programiz.com › c-programming › library-function › math.h › ceil
C ceil() - C Standard Library
The ceil() function computes the nearest integer greater than the argument passed.
🌐
NV5 Geospatial Software
nv5geospatialsoftware.com › docs › CEIL.html
CEIL
View our Documentation Center document now and explore other helpful examples for using IDL, ENVI and other products.
🌐
Cppreference
en.cppreference.com › w › cpp › numeric › math › ceil.html
std::ceil, std::ceilf, std::ceill - cppreference.com
October 15, 2023 - Common mathematical functions · [edit] 1-3) Computes the least integer value not less than num. The library provides overloads of std::ceil for all cv-unqualified floating-point types as the type of the parameter.(since C++23) If no errors occur, the smallest integer value not less than num, ...
🌐
MDN Web Docs
developer.mozilla.org › en-US › docs › Web › JavaScript › Reference › Global_Objects › Math › ceil
Math.ceil() - JavaScript | MDN
The Math.ceil() static method always rounds up and returns the smallest integer greater than or equal to a given number.
🌐
AWS
docs.aws.amazon.com › amazon redshift › database developer guide › sql reference › sql functions reference › math functions › ceiling (or ceil) function
CEILING (or CEIL) function - Amazon Redshift
(The FLOOR function rounds a number down to the next whole number.) ... The number or expression that evaluates to a number. It can be the SMALLINT, INTEGER, BIGINT, DECIMAL, FLOAT4, FLOAT8, or SUPER type. CEILING and CEIL return the same data type as its argument.